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Optimization of Image Quality for Quantitative Multicontrast Atherosclerosis Characterization (qMATCH): Comparison between Transverse and Coronal Acquisitions. [PDF]
Hsu YC +19 more
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Flip Bifurcation Analysis in a Discrete Bacteria Population Model
Balcı, Ercan, Kartal, Şenol
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Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study
We study a homoclinic flip bifurcation of case~\textbf{C}, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable. This bifurcation is of codimension two, and it is the lowest codimension for a homoclinic bifurcation of a real saddle to generate chaotic behavior in the form of (suspended ...
Andrus Giraldo +2 more
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FLIP BIFURCATION WITH RANDOM EXCITATION
Summary: In this paper, flip bifurcation with random excitation is studied by employing the methods of normal forms, Picard iterations and orthogonal polynomial approximation. For the codimension one case, a Neimark-Sacker bifurcation, a 1:2 resonance and a fold-flip bifurcation are detected.
Jingli Ren
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Resonant Homoclinic Flip Bifurcations
Journal of Dynamics and Differential Equations, 2000Homoclinic bifurcations gained a lot of attention because they are closely related to transitions to chaotic dynamics. Many kinds of homoclinic bifurcations were studied (the best known is the Shil'nikov case of a homoclinic orbit to a saddle-focus equilibrium).
Ale Jan Homburg, Bernd Krauskopf
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Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip
Nonlinear Dynamics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yancong Xu, Deming Zhu
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Flip-Flip Bifurcation in a Mathematical Cardiac System
International Journal of Bifurcation and Chaos, 2019We study the intersection of double-flip (period-doubling) bifurcations in a parameter plane. We derive normal forms for discrete-time and continuous-time systems. Using these normal forms, we clarify the bifurcation structure around the flip-flip bifurcation point. We apply these analytical results to a system of coupled ventricular cell models.
Hiroyuki Kitajima, Toru Yazawa
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CODIMENSION 3 BIFURCATIONS OF HOMOCLINIC ORBITS WITH ORBIT FLIPS AND INCLINATION FLIPS
Chinese Annals of Mathematics Series B, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deming Zhu
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Homoclinic flip bifurcation with a nonhyperbolic equilibrium
Nonlinear Dynamics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xingbo Liu, Dongmei Zhang
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